arXiv subjects

Pokou Nagacy

Publications and source records attributed to Pokou Nagacy.

4 recordsLinked to original sources

arXiv2026

Fractional integral and fractional maximal operators on generalized Fofana spaces

Generalized Fofana spaces were recently introduced as generalizations of Fofana spaces and Nakai's generalized Morrey spaces. In this paper, we establish the boundedness properties of the following operators in these spaces: fractional integral operators, fractional maximal operators and generalized fractional integral operators. As a consequence, we obtain generalized Olsen-type inequalities involving the Riesz potential and generalized fractional integral operators.

math.FA↗

arXiv2026

Boundedness of the Hardy-Littlewood maximal operator on generalized fofana spaces

We introduce generalized Fofana spaces and we give some of their basic properties. These spaces are a kind of generalization of generalized Morrey spaces. As application, we establish the boundedness of the Hardy-Littlewood maximal operator on these new spaces.

math.FA↗

arXiv2022

Norm inequalities for Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces

We establish some new properties of the Dunkl-Wiener amalgam spaces defined on the real line. These results allow us to obtain the boundedness of Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces.

math.AP↗

arXiv2020

Maximal operator in Dunkl-Fofana spaces

We generalize Wiener amalgam spaces by using Dunkl translation instead of the classical one, and we give some relationship between these spaces, Dunkl-Lebesgue spaces and Dunkl-Morrey spaces. We prove that the Hardy-Litlewood maximal function associated with the Dunkl operators is bounded on these generalized Dunkl-Morrey spaces.

math.CA↗